konuralp j. math. Konuralp Journal of Mathematics 2147-625X Mehmet Zeki SARIKAYA Applied Mathematics (Other) Uygulamalı Matematik (Diğer) Almost Quasi-Yamabe Soliton and Gradient Almost Quasi-Yamabe Soliton on Generalized Sasakian Space Form Munshi Debadrita https://orcid.org/0000-0003-2236-8482 Roy Soumendu Vellore Institute of Technology https://orcid.org/0000-0001-9202-9692 Das Jhantu Sidho-Kanho-Birsha University https://orcid.org/0000-0002-3238-6484 Yoldaş Halil İbrahim ADANA SCIENCE AND TECHNOLOGY UNIVERSITY 04 30 2026 14 1 24 30 01 12 2025 05 12 2025 Copyright © 2013, Konuralp Journal of Mathematics 2013 Konuralp Journal of Mathematics

n this paper, we have studied generalized Sasakian space form admitting almost quasi-Yamabe soliton and gradient almost quasi-Yamabe soliton. It is shown that if a generalized Sasakian space form admits a closed almost quasi-Yamabe soliton, then either soliton vector field is pointwise collinear with $\zeta$ or the structure functions are connected by a relation. Next, it is proven that if the metric of a generalized Sasakian space form is a gradient almost quasi-Yamabe soliton, then either the gradient of $\psi$ is pointwise collinear with $\zeta$ or the structure functions are connected by a relation.

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